Beam Deflection Studio

Elementary beam formulas for simply supported and cantilever cases with point load, full-span UDL, or both.

Maximum deflection
0.00 mm
at x = 0.00 m
Maximum bending moment
0.00 kN.m
at x = 0.00 m
Left reaction
0.00 kN
vertical support force
Right reaction
0.00 kN
vertical support force

Beam, supports, loads, and deflected shape

Point load case
Beam diagram Beam diagram with loads, supports, and deflected shape.

Shear force

kN
Shear force diagram Shear force diagram along the beam span.

Bending moment

kN.m
Bending moment diagram Bending moment diagram along the beam span.

Calculation basis

  • Linear elastic, prismatic beam with small deflection behavior.
  • Uniformly distributed load is applied over the full span.
  • Combined loading uses direct superposition of point load and UDL responses.
  • Point load position is measured from the left support or fixed end.

Load summary

Total vertical load 0.00 kN
Flexural rigidity EI 0.00 MN.m^2
Deflection ratio L / 0